Write and find the general solution of the differential equation that models the verbal Statement. Evaluate the solution at the specied value of the independent variable. The rate of change of P is proportional to P. When t = 0, P = 2,000 and when t = 1, P = 1,500. What is the value of P when t = 4? Write the differential equation. (Use k for the constant of proportionality.) dP : dt Solve the differential equation. p: Evaluate the solution at the specied value of the independent variable. (Round your answer to three decimal places.) E